I what fraction is represented by the tick mark labeled m
The tick mark labeled 'm' in a measurement can be considered a fraction over 1, and the unit 'meters' cancels out when present in both the numerator and denominator. This concept is also applied in metric unit conversions, where equivalent quantities yield a value of 1 after simplification.
Explanation:Fractions can often be used to express measurements, including those with units like meters (m). In the question provided, the measurement 3.55 m could be considered as a fraction by placing it over 1 (3.55 m/1). The abbreviation for meters appears in both the numerator and the denominator; hence, they cancel out in this fraction representation, which does not affect the measurement's value.
When performing unit conversions, the same concept is applied. For example, 1 m is equivalent to 100 cm, thus forming a fraction with 100 cm in the numerator and 1 m in the denominator (100 cm/1 m) would equate to 1 after canceling 'm' out since they represent the same length but in different units. This technique is particularly useful when converting between metric units, such as millimeters (mm) and meters (m), where the prefix 'milli-' means 1/1000, allowing us to rewrite the fraction with 1000 mm in the numerator (1000 mm/1m).
In the context of the provided example, the expression 0.00675 (0.15)m over 0.00300 (0.10)m can be simplified by canceling equivalent terms that appear both in the numerator and the denominator.
a line contains the points (4,2) and (0,-1). what is the equation of the line. a) y=2x -6
b)y= 3/4x -1
c) y= 1/4x + 1
d) y= 4/3x - 10/3
The equation of the line passing through the points (4,2) and (0,-1) is y = -3/4x + 5.
Explanation:To find the equation of a line passing through two points, we need to find the slope and the y-intercept.
The formula for finding the slope is: m = (y2 - y1) / (x2 - x1)
Using the points (4, 2) and (0, -1):
x1 = 4, y1 = 2x2 = 0, y2 = -1Substituting these values into the formula, we get: m = (-1 - 2) / (0 - 4) = 3 / -4 = -3/4
The slope of the line is -3/4.
Next, we can use the slope-intercept form of the equation of a line, which is: y = mx + b
Using one point and the slope, we can solve for the y-intercept, b.
x = 4, y = 2, m = -3/4Substituting these values into the slope-intercept form, we get: 2 = (-3/4)(4) + b
Simplifying this equation, we find: 2 = -3 + b
Adding 3 to both sides, we get: b = 5
Therefore, the equation of the line is: y = -3/4x + 5
Gerain is practicing his free throws at basketball practice he attempts 20 free throws and makes 13 baskets what percent of his attempts were baskets
@gamerbrehyt2 What is the solution set of -9x ≤ 27?
x ≤ -3
x ≥ -3
x ≤ 3
x ≥ 3
Answer:
X_>-3
Hope this helps!!!!
What is the value of a? 0.0482 − (−0.0091)= a
Julie made a 3 ft. Long submarine sandwich. She is going to cut it into 5 equal length pieces. How long will each piece be?
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. Suppose Salesmen A and B have the same number of sales and earn the same amount in Week 4 of this month. How many sales must they both have had?
Answer:
a0 - 0
a1 - 300
a2 - 900
a3 - 65
a4 - 340
a5 - 900
a6 - 650
a7 - 700
a8 - 900
Step-by-step explanation:
there you go
Based on the amount that both Salesmen A and B earn per sale, the number of sales they both had was 12 sales.
How many sales did Salesmen A and B have?Salesman A gets $65 per sale and Saleman B gets $300 and $40 per sale.
Assuming the number of sales to take them both to the same amount is x, the relevant formulas would be:
65x = 300 + 40x
Solving gives:
65x - 40x = 300
25x = 300
x = 300 / 25
= 12 sales
The amount that both of them earned is:
= 65 x 12
= $780
= 300 + 40 x 12
= $780
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suppose u= {3,6,9,12,15,18,21} is the universal set and M={3,9,15,21} what is M?
Which number has a terminating decimal expansion 2/7 ,2/11, 5/8
what compatible number can you use to estimate 803÷86
Barb is making a bead necklace. She strings 1 white bead, then 3 blue beads, then 1 white bead, and so on. Write the numbers for the first eight beads that are white. What is a rule for the pattern?
A box contains n quarters and some dimes. The ratio of quarters to dimes is 1:2.
A) Write an expression for the total amount of money in the box.
B) If there are 12 quarters, find the total amount of money in the box.
The expression is 0.25Q + 0.1D dollars for the total amount of money in the box, where Q is quarters and D is a dime. The total amount of money in the box would be $5.40.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
A) Let Q be the number of quarters and D be the number of dimes in the box. We are given that the ratio of quarters to dimes is 1:2, which can be expressed as Q:D = 1:2. Since the ratio is equal, the fraction Q/D is equal to 1/2. We can write this relationship as:
Q/D = 1/2
To find the total amount of money in the box, we need to add the value of all the quarters and dimes. The value of all the quarters is 0.25 x Q dollars and the value of all the dimes is 0.1 x D dollars. The total amount of money in the box is, therefore:
0.25Q + 0.1D dollars
B) If there are 12 quarters in the box, we can plug this value into the expression from part A to find the total amount of money in the box:
0.25 x 12 + 0.1 x D = 3 + 0.1 x D dollars
Since we don't know the value of D, we cannot simplify this expression any further. However, we can use this expression to find the total amount of money in the box for any given value of D. For example, if there are 24 dimes in the box (2 times the number of quarters), the total amount of money in the box would be:
0.25 x 12 + 0.1 x 24 = 3 + 2.4 = $5.40.
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find a fraction equivalent to 8/4 when added together it equals 84
2 fourth common denominator
evaluate the expression, using the given value of the variable z÷3-5z+4 (z-2) when z=12
Brian irons 2/9 of his shirt in 3 3/5 minutes. At this rate, how much of his shirt does he iron each minute?
Brian irons 1/16 of his shirt per minute.
Explanation:The question is about determining the rate at which Brian irons his shirts per minute. Given the fact that Brian irons 2/9 of his shirt in 3 3/5 minutes, we first convert 3 3/5 into an improper fraction, giving us 18/5 minutes. Dividing the fraction of the shirt he irons, 2/9, by the time it takes, 18/5, we get the fraction of the shirt Brian irons per minute.
To find this, we multiply 2/9 by the reciprocal of 18/5, which is 5/18, resulting in (2/9)*(5/18) = 10/162 shirts per minute. Simplifying this fraction, we find Brian irons approximately 0.062 shirts or about 1/16 of his shirt per minute.
This is an example of using rates and fractions in a real-world context to solve problems. Understanding how to manipulate and simplify fractions is crucial for solving these real-world math problems.
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5x88x9x7x3x9x10x31x47=
5. Joe has a collection of 35 DVD movies. He received 8 of them as gifts. Joe bought the rest of his movies over 3 years. If he bought the same number of movies each year, how many movies did Joe buy last year?
if there are 15 cats in the apartment complex how many dogs are there
Answer:
Step-by-step explanation:
Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $27.50 and did not provide supplies. Which equation could be used to find the number of windows, w, that Chad washed for this customer?
5.5w + 3.25 = 27.5
5.5w - 3.25 = 27.5
5.5w = 27.5
5.5 - 3.25w = 27.5
How do work 3x-2y=3 and 5x-5y=10
how is 1/2 plus 1/4 solved differently than 1/2 plus 1/3?
plz help fast?????
PLZ help with 6th math homework!
To find the area of a ____ multiply half the sum of the bases by the height
Answer:
trapezoid
.
Step-by-step explanation:
What is 30,000 written in scientific notation?
A.
3.0 × 10–5
B.
3.0 × 10–4
C.
3.0 × 104
D.
3.0 × 105
Maggie bought 52 ounces of swordfish selling for $6.92 per pound. What was the total cost? And explain how u solved it
To find the total cost of 52 ounces of swordfish at a price of $6.92 per pound, you need to convert the weight from ounces to pounds and then multiply it by the price per pound. The total cost is $22.51.
Explanation:To find the total cost, you need to convert the weight of the swordfish from ounces to pounds and then multiply it by the price per pound. Here's how:
Convert 52 ounces to pounds: 52 ounces ÷ 16 ounces/pound = 3.25 poundsMultiply the weight in pounds by the price per pound: 3.25 pounds × $6.92/pound = $22.51So, the total cost of 52 ounces of swordfish at a price of $6.92 per pound is $22.51.
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suppose Mina and two of her friends go to the movies.write an expression that could be used to find the total cost for them to go to the movies and buy one of each item.
The required expression represents the total cost for them to go to the movies and buy one of each item is y = 2[a + x].
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
The question seems to be incomplete,
Let the cost of the item be 'a' the cost of the movie be x, and the total cost be y,
According to the question,
y = 2[a + x]
Thus, the required expression represents the total cost for them to go to the movies and buy one of each item as y = 2[a + x].
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the height of the triangle shown can be found using the expression 48 divide by b ,where b is the base of the triangle what is the height of the triangle
Answer:
6
Step-by-step explanation:
b is 8ft and 48 divided by 8 is 6
What value should go in the empty boxes to complete the calculation for finding the product of
0.98 × 0.73? Both numbers are the same; however, only input the number one time in your answer.
Answer:
The number is 6
Step-by-step explanation:
8*7=56, 9*7+5=68, 6860.
hope this helps
To find the product of 0.98 × 0.73, multiply the digits in the tenths and hundredths places and combine the products.
Explanation:To find the product of 0.98 × 0.73, you need to multiply these two numbers together. First, eliminate any extra zeros in the decimals. Then, multiply the digits in the tenths place (8 × 7) and the digits in the hundredths place (9 × 3). Finally, combine the two products to find the final answer.
0.98 can be written as 0.981 and 0.73 can be written as 0.731.
Multiply the digits in the tenths place: 8 × 7 = 56;Multiply the digits in the hundredths place: 9 × 3 = 27;Combine the two products: 56 + 27 = 83.Therefore, the product of 0.98 × 0.73 is 0.83.
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least common denomaitor of 1/3 and 1/5